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// Copyright 2020 The Abseil Authors 
// 
// Licensed under the Apache License, Version 2.0 (the "License"); 
// you may not use this file except in compliance with the License. 
// You may obtain a copy of the License at 
// 
//     https://www.apache.org/licenses/LICENSE-2.0 
// 
// Unless required by applicable law or agreed to in writing, software 
// distributed under the License is distributed on an "AS IS" BASIS, 
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 
// See the License for the specific language governing permissions and 
// limitations under the License. 
 
#ifndef ABSL_NUMERIC_INTERNAL_BITS_H_ 
#define ABSL_NUMERIC_INTERNAL_BITS_H_ 
 
#include <cstdint> 
#include <limits> 
#include <type_traits> 
 
// Clang on Windows has __builtin_clzll; otherwise we need to use the 
// windows intrinsic functions. 
#if defined(_MSC_VER) && !defined(__clang__) 
#include <intrin.h> 
#endif 
 
#include "y_absl/base/attributes.h" 
#include "y_absl/base/config.h" 
 
#if defined(__GNUC__) && !defined(__clang__) 
// GCC 
#define ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(x) 1 
#else 
#define ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(x) ABSL_HAVE_BUILTIN(x) 
#endif 
 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountl) && \ 
    ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountll) 
#define ABSL_INTERNAL_CONSTEXPR_POPCOUNT constexpr 
#define ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT 1 
#else 
#define ABSL_INTERNAL_CONSTEXPR_POPCOUNT 
#define ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT 0 
#endif 
 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clz) && \ 
    ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clzll) 
#define ABSL_INTERNAL_CONSTEXPR_CLZ constexpr 
#define ABSL_INTERNAL_HAS_CONSTEXPR_CLZ 1 
#else 
#define ABSL_INTERNAL_CONSTEXPR_CLZ 
#define ABSL_INTERNAL_HAS_CONSTEXPR_CLZ 0 
#endif 
 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctz) && \ 
    ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctzll) 
#define ABSL_INTERNAL_CONSTEXPR_CTZ constexpr 
#define ABSL_INTERNAL_HAS_CONSTEXPR_CTZ 1 
#else 
#define ABSL_INTERNAL_CONSTEXPR_CTZ 
#define ABSL_INTERNAL_HAS_CONSTEXPR_CTZ 0 
#endif 
 
namespace y_absl { 
ABSL_NAMESPACE_BEGIN 
namespace numeric_internal { 
 
constexpr bool IsPowerOf2(unsigned int x) noexcept { 
  return x != 0 && (x & (x - 1)) == 0; 
} 
 
template <class T> 
ABSL_MUST_USE_RESULT ABSL_ATTRIBUTE_ALWAYS_INLINE constexpr T RotateRight( 
    T x, int s) noexcept { 
  static_assert(std::is_unsigned<T>::value, "T must be unsigned"); 
  static_assert(IsPowerOf2(std::numeric_limits<T>::digits), 
                "T must have a power-of-2 size"); 
 
  return static_cast<T>(x >> (s & (std::numeric_limits<T>::digits - 1))) | 
         static_cast<T>(x << ((-s) & (std::numeric_limits<T>::digits - 1))); 
} 
 
template <class T> 
ABSL_MUST_USE_RESULT ABSL_ATTRIBUTE_ALWAYS_INLINE constexpr T RotateLeft( 
    T x, int s) noexcept { 
  static_assert(std::is_unsigned<T>::value, "T must be unsigned"); 
  static_assert(IsPowerOf2(std::numeric_limits<T>::digits), 
                "T must have a power-of-2 size"); 
 
  return static_cast<T>(x << (s & (std::numeric_limits<T>::digits - 1))) | 
         static_cast<T>(x >> ((-s) & (std::numeric_limits<T>::digits - 1))); 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int 
Popcount32(uint32_t x) noexcept { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcount) 
  static_assert(sizeof(unsigned int) == sizeof(x), 
                "__builtin_popcount does not take 32-bit arg"); 
  return __builtin_popcount(x); 
#else 
  x -= ((x >> 1) & 0x55555555); 
  x = ((x >> 2) & 0x33333333) + (x & 0x33333333); 
  return static_cast<int>((((x + (x >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24); 
#endif 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int 
Popcount64(uint64_t x) noexcept { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountll) 
  static_assert(sizeof(unsigned long long) == sizeof(x),  // NOLINT(runtime/int) 
                "__builtin_popcount does not take 64-bit arg"); 
  return __builtin_popcountll(x); 
#else 
  x -= (x >> 1) & 0x5555555555555555ULL; 
  x = ((x >> 2) & 0x3333333333333333ULL) + (x & 0x3333333333333333ULL); 
  return static_cast<int>( 
      (((x + (x >> 4)) & 0xF0F0F0F0F0F0F0FULL) * 0x101010101010101ULL) >> 56); 
#endif 
} 
 
template <class T> 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int 
Popcount(T x) noexcept { 
  static_assert(std::is_unsigned<T>::value, "T must be unsigned"); 
  static_assert(IsPowerOf2(std::numeric_limits<T>::digits), 
                "T must have a power-of-2 size"); 
  static_assert(sizeof(x) <= sizeof(uint64_t), "T is too large"); 
  return sizeof(x) <= sizeof(uint32_t) ? Popcount32(x) : Popcount64(x); 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int 
CountLeadingZeroes32(uint32_t x) { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clz) 
  // Use __builtin_clz, which uses the following instructions: 
  //  x86: bsr, lzcnt 
  //  ARM64: clz 
  //  PPC: cntlzd 
 
  static_assert(sizeof(unsigned int) == sizeof(x), 
                "__builtin_clz does not take 32-bit arg"); 
  // Handle 0 as a special case because __builtin_clz(0) is undefined. 
  return x == 0 ? 32 : __builtin_clz(x); 
#elif defined(_MSC_VER) && !defined(__clang__) 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  if (_BitScanReverse(&result, x)) { 
    return 31 - result; 
  } 
  return 32; 
#else 
  int zeroes = 28; 
  if (x >> 16) { 
    zeroes -= 16; 
    x >>= 16; 
  } 
  if (x >> 8) { 
    zeroes -= 8; 
    x >>= 8; 
  } 
  if (x >> 4) { 
    zeroes -= 4; 
    x >>= 4; 
  } 
  return "\4\3\2\2\1\1\1\1\0\0\0\0\0\0\0"[x] + zeroes; 
#endif 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int 
CountLeadingZeroes16(uint16_t x) { 
#if ABSL_HAVE_BUILTIN(__builtin_clzs) 
  static_assert(sizeof(unsigned short) == sizeof(x),  // NOLINT(runtime/int) 
                "__builtin_clzs does not take 16-bit arg"); 
  return x == 0 ? 16 : __builtin_clzs(x); 
#else 
  return CountLeadingZeroes32(x) - 16; 
#endif 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int 
CountLeadingZeroes64(uint64_t x) { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clzll) 
  // Use __builtin_clzll, which uses the following instructions: 
  //  x86: bsr, lzcnt 
  //  ARM64: clz 
  //  PPC: cntlzd 
  static_assert(sizeof(unsigned long long) == sizeof(x),  // NOLINT(runtime/int) 
                "__builtin_clzll does not take 64-bit arg"); 
 
  // Handle 0 as a special case because __builtin_clzll(0) is undefined. 
  return x == 0 ? 64 : __builtin_clzll(x); 
#elif defined(_MSC_VER) && !defined(__clang__) && \ 
    (defined(_M_X64) || defined(_M_ARM64)) 
  // MSVC does not have __buitin_clzll. Use _BitScanReverse64. 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  if (_BitScanReverse64(&result, x)) { 
    return 63 - result; 
  } 
  return 64; 
#elif defined(_MSC_VER) && !defined(__clang__) 
  // MSVC does not have __buitin_clzll. Compose two calls to _BitScanReverse 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  if ((x >> 32) && 
      _BitScanReverse(&result, static_cast<unsigned long>(x >> 32))) { 
    return 31 - result; 
  } 
  if (_BitScanReverse(&result, static_cast<unsigned long>(x))) { 
    return 63 - result; 
  } 
  return 64; 
#else 
  int zeroes = 60; 
  if (x >> 32) { 
    zeroes -= 32; 
    x >>= 32; 
  } 
  if (x >> 16) { 
    zeroes -= 16; 
    x >>= 16; 
  } 
  if (x >> 8) { 
    zeroes -= 8; 
    x >>= 8; 
  } 
  if (x >> 4) { 
    zeroes -= 4; 
    x >>= 4; 
  } 
  return "\4\3\2\2\1\1\1\1\0\0\0\0\0\0\0"[x] + zeroes; 
#endif 
} 
 
template <typename T> 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int 
CountLeadingZeroes(T x) { 
  static_assert(std::is_unsigned<T>::value, "T must be unsigned"); 
  static_assert(IsPowerOf2(std::numeric_limits<T>::digits), 
                "T must have a power-of-2 size"); 
  static_assert(sizeof(T) <= sizeof(uint64_t), "T too large"); 
  return sizeof(T) <= sizeof(uint16_t) 
             ? CountLeadingZeroes16(static_cast<uint16_t>(x)) - 
                   (std::numeric_limits<uint16_t>::digits - 
                    std::numeric_limits<T>::digits) 
             : (sizeof(T) <= sizeof(uint32_t) 
                    ? CountLeadingZeroes32(static_cast<uint32_t>(x)) - 
                          (std::numeric_limits<uint32_t>::digits - 
                           std::numeric_limits<T>::digits) 
                    : CountLeadingZeroes64(x)); 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int 
CountTrailingZeroesNonzero32(uint32_t x) { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctz) 
  static_assert(sizeof(unsigned int) == sizeof(x), 
                "__builtin_ctz does not take 32-bit arg"); 
  return __builtin_ctz(x); 
#elif defined(_MSC_VER) && !defined(__clang__) 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  _BitScanForward(&result, x); 
  return result; 
#else 
  int c = 31; 
  x &= ~x + 1; 
  if (x & 0x0000FFFF) c -= 16; 
  if (x & 0x00FF00FF) c -= 8; 
  if (x & 0x0F0F0F0F) c -= 4; 
  if (x & 0x33333333) c -= 2; 
  if (x & 0x55555555) c -= 1; 
  return c; 
#endif 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int 
CountTrailingZeroesNonzero64(uint64_t x) { 
#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctzll) 
  static_assert(sizeof(unsigned long long) == sizeof(x),  // NOLINT(runtime/int) 
                "__builtin_ctzll does not take 64-bit arg"); 
  return __builtin_ctzll(x); 
#elif defined(_MSC_VER) && !defined(__clang__) && \ 
    (defined(_M_X64) || defined(_M_ARM64)) 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  _BitScanForward64(&result, x); 
  return result; 
#elif defined(_MSC_VER) && !defined(__clang__) 
  unsigned long result = 0;  // NOLINT(runtime/int) 
  if (static_cast<uint32_t>(x) == 0) { 
    _BitScanForward(&result, static_cast<unsigned long>(x >> 32)); 
    return result + 32; 
  } 
  _BitScanForward(&result, static_cast<unsigned long>(x)); 
  return result; 
#else 
  int c = 63; 
  x &= ~x + 1; 
  if (x & 0x00000000FFFFFFFF) c -= 32; 
  if (x & 0x0000FFFF0000FFFF) c -= 16; 
  if (x & 0x00FF00FF00FF00FF) c -= 8; 
  if (x & 0x0F0F0F0F0F0F0F0F) c -= 4; 
  if (x & 0x3333333333333333) c -= 2; 
  if (x & 0x5555555555555555) c -= 1; 
  return c; 
#endif 
} 
 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int 
CountTrailingZeroesNonzero16(uint16_t x) { 
#if ABSL_HAVE_BUILTIN(__builtin_ctzs) 
  static_assert(sizeof(unsigned short) == sizeof(x),  // NOLINT(runtime/int) 
                "__builtin_ctzs does not take 16-bit arg"); 
  return __builtin_ctzs(x); 
#else 
  return CountTrailingZeroesNonzero32(x); 
#endif 
} 
 
template <class T> 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int 
CountTrailingZeroes(T x) noexcept { 
  static_assert(std::is_unsigned<T>::value, "T must be unsigned"); 
  static_assert(IsPowerOf2(std::numeric_limits<T>::digits), 
                "T must have a power-of-2 size"); 
  static_assert(sizeof(T) <= sizeof(uint64_t), "T too large"); 
  return x == 0 ? std::numeric_limits<T>::digits 
                : (sizeof(T) <= sizeof(uint16_t) 
                       ? CountTrailingZeroesNonzero16(static_cast<uint16_t>(x)) 
                       : (sizeof(T) <= sizeof(uint32_t) 
                              ? CountTrailingZeroesNonzero32( 
                                    static_cast<uint32_t>(x)) 
                              : CountTrailingZeroesNonzero64(x))); 
} 
 
// If T is narrower than unsigned, T{1} << bit_width will be promoted.  We 
// want to force it to wraparound so that bit_ceil of an invalid value are not 
// core constant expressions. 
template <class T> 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline 
    typename std::enable_if<std::is_unsigned<T>::value, T>::type 
    BitCeilPromotionHelper(T x, T promotion) { 
  return (T{1} << (x + promotion)) >> promotion; 
} 
 
template <class T> 
ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline 
    typename std::enable_if<std::is_unsigned<T>::value, T>::type 
    BitCeilNonPowerOf2(T x) { 
  // If T is narrower than unsigned, it undergoes promotion to unsigned when we 
  // shift.  We calculate the number of bits added by the wider type. 
  return BitCeilPromotionHelper( 
      static_cast<T>(std::numeric_limits<T>::digits - CountLeadingZeroes(x)), 
      T{sizeof(T) >= sizeof(unsigned) ? 0 
                                      : std::numeric_limits<unsigned>::digits - 
                                            std::numeric_limits<T>::digits}); 
} 
 
}  // namespace numeric_internal 
ABSL_NAMESPACE_END 
}  // namespace y_absl 
 
#endif  // ABSL_NUMERIC_INTERNAL_BITS_H_